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Anon25 [30]
3 years ago
10

What is the simplest form of

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

  1. 15 = -3c +12
  2. -3n +8 = -7
  3.  5z -40 = 10
  4. 3.4s -35 = 50

Step-by-step explanation:

Usually, you're asked to "simplify" an equation, meaning that you eliminate parentheses and combine like terms. Asking for "simplest form" suggests something different. The simplest form is the form that has the variable equal to a constant--the solution, in other words.

We suspect you want the <em>simplified form</em>, but since you asked for the <em>simplest form</em>, that is here, too.

__

1. 15=-3(c-1)+9

  15 = -3c +3 +9

  15 = -3c +12 . . . . . simplified form of the given equation

  -1 = c . . . . . . . . . . "simplest" form

__

2. 2(1.5n+4)-6n=-7

  3n +8 -6n = -7

  -3n +8 = -7 . . . . . . simplified form of the given equation

  n = 5 . . . . . . . . . . . "simplest" form

__

3. 2(z-20)+3z=10

  2z -40 +3z = 10

  5z -40 = 10 . . . . . . simplified form of the given equation

  z = 10 . . . . . . . . . . "simplest" form

__

4. 2/5s -2+3(s-11)=50

  0.4s -2 +3s -33 = 50

  3.4s -35 = 50 . . . . simplified form of the given equation

  s = 25 . . . . . . . . . . "simplest" form

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Step-by-step explanation:

Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.

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<u>c = 1</u>

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The values that go in the blanks are 42, 35, 16.

_____

<em>Additional comment</em>

It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.

Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.

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